The relative degree and large complete minors in infinite graphs

Maya Stein, José Zamora

Resultado de la investigación: Article

Resumen

Finite graphs of large minimum degree have large complete (topological) minors. We propose a new and very natural notion, the relative degree of an end, which makes it possible to extend this fact to locally finite graphs and to graphs with countably many ends. We conjecture the extension to be true for all infinite graphs.

Idioma originalEnglish
Páginas (desde-hasta)129-134
Número de páginas6
PublicaciónElectronic Notes in Discrete Mathematics
Volumen37
N.ºC
DOI
EstadoPublished - 1 ago 2011

Huella dactilar

Infinite Graphs
Finite Graph
Minor
Minimum Degree
Graph in graph theory

ASJC Scopus subject areas

  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Citar esto

Stein, Maya ; Zamora, José. / The relative degree and large complete minors in infinite graphs. En: Electronic Notes in Discrete Mathematics. 2011 ; Vol. 37, N.º C. pp. 129-134.
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Stein, M & Zamora, J 2011, 'The relative degree and large complete minors in infinite graphs', Electronic Notes in Discrete Mathematics, vol. 37, n.º C, pp. 129-134. https://doi.org/10.1016/j.endm.2011.05.023

The relative degree and large complete minors in infinite graphs. / Stein, Maya; Zamora, José.

En: Electronic Notes in Discrete Mathematics, Vol. 37, N.º C, 01.08.2011, p. 129-134.

Resultado de la investigación: Article

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KW - Infinite graph theory

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Stein M, Zamora J. The relative degree and large complete minors in infinite graphs. Electronic Notes in Discrete Mathematics. 2011 ago 1;37(C):129-134. https://doi.org/10.1016/j.endm.2011.05.023

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